\[\boxed{\text{74\ (74).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ 3 \cdot (x + 4)^{2} = 10x + 32\]
\[3 \cdot \left( x^{2} + 8x + 16 \right) = 10x + 32\]
\[3x^{2} + 24x - 10x + 48 - 32 = 0\]
\[3x^{2} + 14x + 16 = 0\]
\[D_{1} = 7^{2} - 3 \cdot 16 = 49 - 48 = 1\]
\[x_{1} = \frac{- 7 + 1}{3} = - 2;\]
\[x_{2} = \frac{- 7 - 1}{3} = - \frac{8}{3} = - 2\frac{2}{3}.\]
\[Ответ:x = - 2;\ \ x = - 2\frac{2}{3}.\]
\[\textbf{б)}\ 31x + 77 = 15 \cdot (x + 1)^{2}\]
\[31x + 77 = 15 \cdot \left( x^{2} + 2x + 1 \right)\]
\[31x + 77 = 15x^{2} + 30x + 15\]
\[15x^{2} + 30x - 31x + 15 - 77 = 0\]
\[15x^{2} - x - 62 = 0\]
\[D = 1 + 4 \cdot 15 \cdot 62 = 3721 = 61^{2}\]
\[x_{1} = \frac{1 - 61}{30} = - \frac{60}{30} = - 2;\]
\[x_{2} = \frac{62}{30} = 2\frac{2}{30} = 2\frac{1}{15}.\]
\[Ответ:x = - 2;\ \ x = 2\frac{1}{15}.\]
\[\boxed{\text{74.\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[- 31x = - 31\]
\[x = 1.\]
\[3y = 10 + 2x = 12\]
\[y = 4.\]
\[Ответ:(1;4).\]
\[- 46y = - 46\]
\[y = 1.\]
\[x = 12,5 - 11y = 12,5 - 11 =\]
\[= 1,5.\]
\[Ответ:(1,5;1).\]